Numerical Analysis of an Osseointegration Model

Baldonedo, Jacobo; Fernández, José R.; Segade, Abraham

doi:10.3390/math8010087

Cited by 7 publications

(5 citation statements)

References 41 publications

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“…Various factors have effects on the osteoconduction process, which depends on the presence of defect sites as well as morphological factors. In general, SEM micrographs are used to characterize bone coverage of bioactive materials, with numerical models able to simulate osteoconduction processes [ 66 , 67 ]. As fairly connected with osteoinductivity processes, the osteoconduction of implant surfaces depends on the action of differentiated bone cells, that may originate in pre-existing, pre-osteoblasts/osteoblasts that are activated by trauma or in differentiated mesenchymal cells activated by osteoinduction processes [ 68 ].…”

Section: Bone Tissue: Formation and Metabolismmentioning

confidence: 99%

Design Strategies and Biomimetic Approaches for Calcium Phosphate Scaffolds in Bone Tissue Regeneration

et al. 2022

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Bone is a complex biologic tissue, which is extremely relevant for various physiological functions, in addition to movement, organ protection, and weight bearing. The repair of critical size bone defects is a still unmet clinical need, and over the past decades, material scientists have been expending efforts to find effective technological solutions, based on the use of scaffolds. In this context, biomimetics which is intended as the ability of a scaffold to reproduce compositional and structural features of the host tissues, is increasingly considered as a guide for this purpose. However, the achievement of implants that mimic the very complex bone composition, multi-scale structure, and mechanics is still an open challenge. Indeed, despite the fact that calcium phosphates are widely recognized as elective biomaterials to fabricate regenerative bone scaffolds, their processing into 3D devices with suitable cell-instructing features is still prevented by insurmountable drawbacks. With respect to biomaterials science, new approaches maybe conceived to gain ground and promise for a substantial leap forward in this field. The present review provides an overview of physicochemical and structural features of bone tissue that are responsible for its biologic behavior. Moreover, relevant and recent technological approaches, also inspired by natural processes and structures, are described, which can be considered as a leverage for future development of next generation bioactive medical devices.

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Section: Bone Tissue: Formation and Metabolismmentioning

confidence: 99%

Design Strategies and Biomimetic Approaches for Calcium Phosphate Scaffolds in Bone Tissue Regeneration

et al. 2022

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“…1) is described using the model work of Moreo et al [36], [37]. This model was already analyzed in the literature in terms of sensitivity, stability, existence of the solution and the apriori error estimate [36]- [38]. Therefore, the set of nine non-linear reaction-diffusion coupled equations developed to account for the early stages of bone healing is slightly modified and used for simulating the physiological process shown in Fig.…”

Section: A Physiological Process and Biomathematicsmentioning

confidence: 99%

Mathematical Modeling Of Magnetic Scaffolds For Targeted Drug Delivery And Bone Repair

Lodi¹,

Fanti²,

Vargiu³

et al. 2021

Preprint

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<div>Magnetic bone substitutes are multifunctional nanocomposite biomaterials designed to serve as an in situ attraction platform for magnetic carriers of growth factors. The morphological and functional properties of these biomaterials were characterized so far, but very little is known on the treatment dynamics, and the latter cannot be designed from an engineering point of view. For the first time, this work deals with the mathematical modeling of the use of magnetic scaffolds and functionalized nanoparticles to evaluate the enhancement of osteogenesis and bone repair. The non-linear magnetization of the scaffolds is considered to simulate the attraction and transport of magnetic nanoparticles. Different biomaterials and drug carriers from the literature are analyzed. The drug release via RF-heating is modeled considering the multiphysics nature of the phenomena. The physiological process of bone healing is reproduced using nine non-linear equations. The influence of the delivered growth factor on osteogenesis is assessed and quantified in silico, while compared to numerical simulations of intravenous injection of growth factor and to its release from the biomaterial. The exploitation of magnetic carriers of biomolecules with magnetic scaffolds allows to produce a more homogeneous and uniform distribution of mature bone, overcoming the limitation of traditional drug delivery techniques.</div>

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“…These interactions are graphically depicted in Figure 1. For more details about bone remodelling see, e.g., [16][17][18]; as to the effects of of tumours and their treatments, see, e.g., [19][20][21].…”

Section: Tumour and Its Influence On Bone Remodellingmentioning

confidence: 99%

Studying Bone Remodelling and Tumour Growth for Therapy Predictive Control

2020

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Bone remodelling consists of cycles of bone resorption and formation executed mainly by osteoclasts and osteoblasts. Healthy bone remodelling is disrupted by diseases such as Multiple Myeloma and bone metastatic diseases. In this paper, a simple mathematical model with differential equations, which takes into account the evolution of osteoclasts, osteoblasts, bone mass and bone metastasis growth, is improved with a pharmacokinetic and pharmacodynamic (PK/PD) scheme of the drugs denosumab, bisphosphonates, proteasome inhibitors and paclitaxel. The major novelty is the inclusion of drug resistance phenomena, which resulted in two variations of the model, corresponding to different paradigms of the origin and development of the tumourous cell resistance condition. These models are then used as basis for an optimization of the drug dose applied, paving the way for personalized medicine. A Nonlinear Model Predictive Control scheme is used, which takes advantage of the convenient properties of a suggested adaptive and democratic variant of Particle Swarm Optimization. Drug prescriptions obtained in this way provide useful insights into dose administration strategies. They also show how results may change depending on which of the two very different paradigms of drug resistance is used to model the behaviour of the tumour.

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Numerical Analysis of an Osseointegration Model

Cited by 7 publications

References 41 publications

Design Strategies and Biomimetic Approaches for Calcium Phosphate Scaffolds in Bone Tissue Regeneration

Design Strategies and Biomimetic Approaches for Calcium Phosphate Scaffolds in Bone Tissue Regeneration

Mathematical Modeling Of Magnetic Scaffolds For Targeted Drug Delivery And Bone Repair

Studying Bone Remodelling and Tumour Growth for Therapy Predictive Control

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